Details

sample19.0ms

Algorithm

intervals

Results

9.0ms

256×

body

valid

simplify251.0ms

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	19
1	17	19
2	35	19
3	67	19
4	114	19
5	166	19
6	195	19
7	199	19
done	199	19

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 30.1b

localize9.0ms

Local error

Found 2 expressions with local error:

2.2b	(- (* x x) (* (* y 4.0) y))
29.5b	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

rewrite71.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`times-frac`
4×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
3×	`associate-/r` `associate-/l`
2×	`pow1` `flip3--` `associate-/r/` `flip--` `associate-/l/`
1×	`cbrt-undiv` `sub-neg` `frac-2neg` `flip3-+` `diff-log` `div-sub` `div-exp` `clear-num` `flip-+` `div-inv`

Counts

2 → 44

Calls

2 calls:

15.0ms	(- (* x x) (* (* y 4.0) y))
54.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

series135.0ms

Counts

2 → 6

Calls

2 calls:

64.0ms	(- (* x x) (* (* y 4.0) y))
71.0ms	(/ (- (* x x) (* (* y 4.0) y)) (+ (* x x) (* (* y 4.0) y)))

simplify789.0ms

Counts

50 → 50

Iterations

Useful iterations: done (785.0ms)

Iter	Nodes	Cost
0	82	1196
1	237	1174
2	1163	1062
done	5001	1060

prune172.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.2b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
20.6b	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
20.8b	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

rewrite189.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-exp-log` `add-cbrt-cube`
11×	`add-sqr-sqrt`
9×	`*-un-lft-identity`
8×	`associate-/r/`
7×	`add-cube-cbrt` `times-frac`
6×	`associate-/r*`
5×	`cbrt-undiv` `div-exp` `add-log-exp`
4×	`flip3-+` `prod-exp` `cbrt-unprod` `flip-+` `div-inv`
3×	`pow1` `distribute-rgt-out--`
2×	`frac-2neg` `clear-num` `associate-/l*` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `frac-sub` `flip--` `distribute-lft-out--` `sub-div`

Counts

3 → 68

Calls

3 calls:

123.0ms	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
33.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
31.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

series266.0ms

Counts

3 → 9

Calls

3 calls:

122.0ms	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))
76.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
68.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

simplify2.3s

Counts

77 → 77

Iterations

Useful iterations: done (2.3s)

Iter	Nodes	Cost
0	130	1924
1	407	1818
2	2776	1606
done	5001	1602

prune278.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (log (exp (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))))
0.6b	(log (exp (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))
20.6b	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
20.8b	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

rewrite205.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-exp-log` `add-cbrt-cube`
16×	`add-sqr-sqrt`
15×	`*-un-lft-identity`
12×	`add-cube-cbrt`
11×	`log-pow`
10×	`times-frac`
9×	`exp-prod`
6×	`pow1` `log-prod` `associate-/r*` `associate-/r/`
5×	`cbrt-undiv` `div-exp` `add-log-exp`
4×	`prod-exp` `cbrt-unprod`
3×	`flip3-+` `flip-+` `div-inv` `associate--r+`
2×	`frac-2neg` `clear-num` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
1×	`sub-neg` `flip3--` `diff-log` `rem-log-exp` `flip--`

Counts

4 → 88

Calls

4 calls:

119.0ms	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (log (exp (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))))
28.0ms	(log (exp (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))
34.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
21.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

series321.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(- (/ (* x x) (+ (* x x) (* (* y 4.0) y))) (log (exp (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y))))))
81.0ms	(log (exp (/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))))
102.0ms	(/ (* (* y 4.0) y) (+ (* x x) (* (* y 4.0) y)))
60.0ms	(/ (* x x) (+ (* x x) (* (* y 4.0) y)))

simplify1.4s

Counts

100 → 100

Iterations

Useful iterations: done (1.4s)

Iter	Nodes	Cost
0	160	2419
1	434	2187
2	2715	1953
done	5002	1947

prune257.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.2b

localize0.0ms

rewrite0.0ms

Algorithm

rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms

Counts: 0 → 0

simplify0.0ms

Counts

0 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
done	0	0

prune0.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.2b

regimes199.0ms

Accuracy

60.3% (12.4b remaining)

Error of 12.7b against oracle of 0.3b and baseline of 31.6b

bsearch121.0ms

Steps

Iters	Range		Point
7	2.741849858539478e+174	1.0643639923099998e+176	2.3888082258272604e+175
4	1.2444683757217978e-56	2.209025427484727e-56	1.2719565995075894e-56
7	7.622441488520967e-115	1.9592278597254962e-113	1.2415011346128472e-113
8	2.8015374847634365e-268	4.601655914743984e-265	5.718768288099246e-268

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	98
1	32	98
done	32	98

end0.0ms

sample734.0ms

Algorithm

intervals

Results

488.0ms

8000×

body

valid